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[ 1/1Inequality]
Assignment:Find the solution set of inequality [(111327.12*n^2+18829.77*n^3+760.5*n^4)/(1249.65+117*n)]-524.84-580.25*n >1.2*[(40479.44*n^2+2845.92*n^3+48.02*n^4)/(696.96+29.4*n)] .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( 111327.12 * n ^ 2 + 18829.77 * n ^ 3 + 760.5 * n ^ 4 ) / ( 1249.65 + 117 * n ) ) - 524.84 - 580.25 * n >1.2 * ( ( 40479.44 * n ^ 2 + 2845.92 * n ^ 3 + 48.02 * n ^ 4 ) / ( 696.96 + 29.4 * n ) ) (1)
From the definition field of divisor
1249.65 + 117 * x ≠ 0 (2 )
From the definition field of divisor
696.96 + 29.4 * x ≠ 0 (3 )
From inequality(1):
-14.533776 < n < -10.680769 或 -9.837076 < n < -0.884089 或 n > 9.768622
From inequality(2):
n < -10.680769 或 n > -10.680769
From inequality(3):
n < -23.706122 或 n > -23.706122
From inequalities (1) and (2)
-14.533776 < n < -10.680769 或 -9.837076 < n < -0.884089 或 n > 9.768622 (4)
From inequalities (3) and (4)
-14.533776 < n < -10.680769 或 -9.837076 < n < -0.884089 或 n > 9.768622 (5)
The final solution set is :
-14.533776 < n < -10.680769 或 -9.837076 < n < -0.884089 或 n > 9.768622Your problem has not been solved here? Please take a look at the hot problems !